Help me solve this please

The measure of the angle 15 is 97°

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, vertically opposite angles.

The parallel lines are e and f. These parallel lines are cut across by the transversal lines c and d. The transversal line d is the line that forms the angle 15 with the parallel lines e and f.

Therefore, the angle 97 degrees and the angle 15 are alternate exterior angles.

Alternate exterior angles are congruent.

Therefore,

∠15 = 97 degrees.

Hence, the measure of ∠15 is 97 degrees.

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For the given high school committee officers.

We need to find the sharing between the committee officers.

AS shown:

Amber is a common between A and B

Calipso is a common between A and C

Juan is a common between A and D

Sam is a common between B and C

So, the figure represents the situation will be option A

The slope of the model is 0.83 and a graduate is expected to have an average salary of  $20856

The equation of the linear model is given as

y = 0.83x + 106

A linear equation is represented as

y = mx + c

Where m represents the slope

This means that when the equations y = mx + c and y = 0.83x + 106 are compared, we have:

m = 0.83

This means that the slope of the equation y = 0.83x + 106 is 0.83

Hence, the slope of the equation is 0.83

How to determine the average salary for a graduate?

Here, we have

Annual tuition = $25,000

This means that

x = 25,000

So, we have

y = 0.83 x 25000 + 106

Evaluate

y = 20856

Hence, the average salary for a graduate is $20856

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1 kg = 1000g

Hence,

This implies that,

Answer:

Midpoint, M is (5,8)

Step-by-step explanation:

To find the midpoint, average the x's (add and divide by2) then average the y's.

The x's are the first numbers (2+8)/2 is

10/2 which is 5.

The y's are the second numbers in the parentheses, (9+7)/2 is 16/2 which is 8.

So the x of the midpoint is 5 and the y is 8.

The midpoint is (5,8)

The correct answer is [G] x-4

x-4 is the expressions is a factor of the expression x² - 6x + 8.

The positive integers that can divide a number evenly are known as the factors in mathematics. Let's say we multiply two numbers to produce a result. The product's factors are the number that is multiplied. Each number has a self-referential element. There are several examples of factors in everyday life, such putting candies in a box, arranging numbers in a certain pattern, giving chocolates to kids, etc. We must apply the multiplication or division method in order to determine a number's factors.

The numbers that can divide a number exactly are called factors. There is therefore no residual after division. The numbers you multiply together to obtain another number are called factors. A factor is therefore another number's divisor.

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Answer:

B P = 25 + 8B + 4R

Step-by-step explanation:

The price quote, P, will be equal to the total amount of charges. It’s given that there is a $25 base charge, so we can begin by writing the price quote as P = $25. To this base charge of $25, $8 per each bathroom, represented by the variable B, is added; our price quote is now P = $25 + $8B. Lastly, $4 per each other room, R, is added, and the actual price quote is P = $25 + $8B + $4R, or P = 25 + 8B + 4R.

The data on the attempts and distances of the science experiment on the launch of a ball by a catapult, presented in a tabular form gives the following;

a. The five attempts have an average distance of 50.58

b. The distance the sixth ball has to travel so as to give an average distance traveled of 50.9 meters is 52.5 meters

An average is a descriptive statistics that tends to describe the values in a dataset. An average or the mean of a dataset is obtained by summing the data values and dividing the result by the number of data points

Please find attached, the Attempt to Distance table obtained from a similar question online

a. The formula for average, [tex] \bar{x} [/tex] of a set of data or observations is presented as follows;

[tex] \displaystyle{\bar x = \frac{Sum \: of \: observations}{Number \: of \: observations}} [/tex]

Mathematically, we have;

[tex] \displaystyle{\bar x = \frac{\sum x}{N}} [/tex]

Which gives from the attached table;

[tex]\displaystyle{\sum {x} =50.7+49.4 +52.3 + 48.9 + 51.6 = 252.9}[/tex]

N = 5

Which gives;

[tex] \displaystyle{\bar x = \frac{252.9}{5} = 50.58}[/tex]

b. The distance, d, the ball has to travel on the sixth attempt to get an average of 50.9 meters is found as follows;

The new total number of attempts, N = 6

Which gives;

[tex] \displaystyle{\bar x = 50.9 = \frac{d + 252.9}{6} }[/tex]

6 × 50.9 = d + 252.9

Therefore;

d = 6 × 50.9 - 252.9 = 52.5

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The standard normal distribution or standardized normal distribution is a singular normal distribution. Its variable, Z is the product of a transformation or change of variable of the variable X. This transformation is called typing:

From our exercise, the values of

Now we look up this value of z in our table so we can find the probability at this point. the first digits that is 0.9 tells us in which row we are going to search and the third 0.02 in which column

Answer:

i really dont understand u gotta take better pictures

Step-by-step explanation:

Answer: 1/12

step by step equation:

Answer:

3671.8, 3576.4

Step-by-step explanation:

The third angle of the triangle is 19°.

Let the first length be a. Then,

[tex] \frac{a}{\sin 85^{\circ}}=\frac{1200}{\sin 19^{\circ}} \\ \\ a=\frac{1200\sin 85^{\circ}}{\sin 19^{\circ}} \approx 3671.8[/tex]

Let the second length be b.

[tex] \frac{b}{\sin 76^{\circ}}=\frac{1200}{\sin 19^{\circ}} \\ \\ b=\frac{1200\sin 76^{\circ}}{\sin 19^{\circ}} \approx 3576.4[/tex]

Answer:

it’s 20 feet

Step-by-step explanation:

just took the test

Answer:

Option 1:

Explanation:

In order for f(x) to be concave up in an interval, the graph of the derivative would have to be increasing in that interval.

In the given graph, from x=-1.5 to x=1.5, the graph of the derivative is decreasing, therefore, the statement that "f is concave up from x=-1.5 to x=1.5" is false.

Next, for f to have an inflection point at any x-value the slope of the derivative, f'(x) must change signs at that x-value. Therefore, the statement "f has an inflection point at x=1.5" is true.

Finally, for f(x) to have a relative minimum at x=2, the value of the derivative must be 0, which is as seen on the graph.

Therefore, the first option is False.

Answer: [tex]108^{\circ}[/tex]

Step-by-step explanation:

[tex]\angle 4[/tex] and [tex]\angle 5[/tex] are supplementary since they are consecutive interior angles.

The best approximate solution to the linear system is  x= 3/4 y = -1

What is linear system?

linear system are system of equations in which the variables are never multiplied with each other but only with constants and then summed up.

Reorder the equation:2x-y =5/2

2x-2y = 7/2

Subtract the two equations:

2x-y -(2x-2y)=5/2 - 7/2

Remove parentheses:

2x-y -2x +2y =5/2-7/2

Cancel one variable:

-y +2y =5/2-7/2

Combine like terms:

5/2-7/2

Write the numerators over common denominator:

Y= 5-7/2

Calculate the sum or difference:-2/2

Rewrite the fraction:-2/2

Cross out the common factor:-1

Substitute into one of the equations:2x-(-1)=5/2

Remove the parentheses:2x+1=5/2

Multiply both sides of the equation by the common denominator:2x×2+2=5×2/2

Reduce the fractions:2x×2+2=5

Rearrange unknown terms to the left side of the equation:4x=5-2

Calculate the sum or difference:4x=3

Divide both sides of the equation by the coefficient of variable:

The solution of the system is:x=3/4

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Answer:

3=-4x+3y or -4x+3y=3

Step-by-step explanation:

it perpendicular

A rectangle has a perimeter of 60 feet. The rectangle's length is four times its width. The area of rectangle is 144 square feet.

Given that,

A rectangle has a perimeter of 60 feet.

The rectangle's length is four times its width.

We have to find the area of rectangle.

Let us take length as x

The width will be 4x

The perimeter =2(4x+x)

2(4x+x)=60

4x+x=60/2

5x=30

x=30/5

x=6

The length will be 6.

The width will be 4×6=24.

The area of rectangle is length×width

=6×24

=144 square feet.

Therefore, the area of rectangle is 144 square feet.

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The equation that can be used to solve for the number of classes, c, for which Class A and Class B cost the same is D. 40c = 25c+60

From the information, Rai compares the fee structure for two different art classes.

For class A, it should be noted that the expression will be 40c.

For class B, it should be noted that the expression will be 60 + 25c where c is the number of classes

Therefore, equating both equations will be:

40c=25c+60

In conclusion, the correct option is D.

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dilation, k=0.5

Explanation

Step 1

as we can see, the quadrilaterals have different size. it means we can discard a traslation

Step 2

now, we can see both quadrilateral have similar shape, so we can check for a dilation.

A dilation is a type of transformation that changes the size of the image. The scale factor measures how much larger or smaller the image is

in this case, quadrilateral 1 is bigger than quadrilateral 2, it means it suffered a compresion, so k is smaller than 1

we can find k,

let

A=a point of the quadrilateral

I hope this helps you

Work Shown:

(15 oz of flour)/(8 fl oz of milk) = (x oz of flour)/(15 fl oz of milk)

15/8 = x/15

15*15 = 8*x

225 = 8x

8x = 225

x = 225/8

x = 28.125

19/38 and 15/18

Explanation:

19/38 can be reduced as there is a factor other than 1 that can divide without a remainder. Factor is 19

It can still be reduced because 19*2 = 38

19/38 = 1/2

10/19 cannot be reduced as there is no factor other than one to divide without a remainder

21/34 cannot be reduced as there is no factor other than one to divide without a remainder

15/18 can be reduced as there is a factor other than 1 that can divide without a remainder.

The factor is 3

15/18 = 5/6

Fraction that has not been reduced to simplest form are 19/38 and 15/18

Answer:

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Given that tanx and sinx is negative, determine sin(2x), cos(2x), and tan(2x) Write the exact answer. Do not round: Answer Keyboard sin(Zx) cos(2x) Submit Ar

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in this question we have to find the value of sine two X cost two X. And turn to work given 10 X. is equal to minus 11 and syntax is yeah negative 10 X. And cynics both are negative together. In Yeah. Quarante food All right. Mhm signed two X. is equal to to 10 X. Yeah. Yeah upon one plus tell a square X is equal to to into minus 11 upon one plus -11 to the power to is equal to -22 upon one plus 1 21 is equal to -22 upon 1 22 is equal to minus 11 upon 61 Cost two X is equal to 1 -1 tennis square X upon one plus tennis square is equal to one -11 to the power to upon one plus -11 to the power to is equal to one 1 21. Plus upon one plus 1 21 is equal to minus 1 20 upon 1 22 is equal to minus 60 appalled 61. Yes tend to X. Is equal to signed two x upon cost two X is equal to minus 11 upon 61. A phone minus 16.61 is equal to 11 upon 16. Okay that Kind two X is equal to minus 11 upon 61 Cost two X is equal to minus 60. .61 tend to work is equal to 11 upon 60. My answer to the question.

The short answer is [tex]\frac{2}{5}+3^2[/tex] will be considered rational.

Why you ask? Continue reading below for a deeper explanation.

_____________________________________________________

"What Are They?" - Descriptions and Examples

Rational Numbers are numbers in which can be expressed as an integer or the quotient of an integer divided by a nonzero integer. For example, the number can be represented in the form of [tex]\frac{p}{q}[/tex] , where P and Q are integers and Q ≠ 0.

Irrational Numbers on the other hand cannot be written in the form of simple fractions. In other words, it is a real number the isn't able to be made by dividing two integers.

_____________________________________________________

Hope this helps! If I missed anything, feel free to ask any further questions you may have regarding the topic below in the comments and I'll see what else I can do to assist you further. However, if this did help, feel free to lmk. Thank you for your time and I wish you the best of luck on the rest of your studies!

If a telemarketer calls people and tries to sell them a subscription to a daily newspaper. On 25 % of her calls, there is no answer or the line is busy. She sells subscriptions to 9 % of the remaining calls. The proportion of calls she make a sale is: 189/ 25.

Given data ;

Calls without answer or line busy  = 25%

Subscription sold out of remaining calls = 9%

Now let determine the proportion of calls she make a sale :

Proportion = 9 % ×  ( 100 % - 25 %)

Proportion = 9 % × 75 %

Proportion = 7.56 %

Since we were told the  proportion of calls she make a sale we would have to convert the percentage into fraction :

Proportion :

Proportion = 7.56 %

Proportion = 189 / 25  

Therefore we can conclude that the proportion  is 189 / 25.

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Applying precedence of operations, the parenthesis on the operations are inserted as follows:

The acronym PEMDAS defines the precedence of operations, from highest to lowest, as follows:

For the first item, we want a result of 29, hence the expression will be of:

(6+9)/3+(16-4)*2.

As the equivalent result will be of:

(6+9)/3+(16-4)*2 = 15/3 + 12 x 2 = 5 + 24 = 29.

For the second item, we want a result of 2, hence the expression will be of:

36/(4 + 2) - 4.

As the equivalent result will be of:

36/6 - 4 = 6 - 4 = 2.

For the third item, we want a result of 28, hence the expression will be of:

(5-3)*2 + 8*(5 - 2)

As the equivalent result will be of:

(5-3)*2 + 8*(5 - 2) = 2 x 2 + 8 x 3 = 4 + 24 = 28.

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The maximum value in this range is 8.3 girls. The range of a set of numbers is the difference between its highest and lowest values. To find it, subtract the lowest number from the highest in the distribution.

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Gross Earning is $323

Total deduction is $95.77 and Net pay is $227.23

In light of the hourly rate and salary (8.50, 38.0)

$8.50 an hour is the pay rate.

worked 38.0 hours in total.

38 hours total compensation (Gross Earning)=38×8.5 =$323

Now, we can see the total tax deduction.

Federal taxes (assumed to be 15% of gross income)

Therefore, Federal taxes = 0.15 x 323 = $48.45

State taxes (assuming 5% of gross earnings)

Therefore, State taxes = 0.05 x 323 = $16.15

Local taxes (assuming 2% of gross earnings)

Therefore, Local taxes = 0.02 x 323 = $6.46

Social security deduction (assuming 7.65% of gross earnings)

Therefore, Social security deduction = 0.0765 x 323 = $24.71

Total deduction = Federal taxes + State taxes + Local taxes + Social security deduction

Total deduction = 48.45+16.15+6.46+24.71 = $95.77

Net Pay = Gross Earning - Total deduction

Net Pay = $323 - $95.77 = $227.23

Thus, Gross Earning is $323, Total deduction is $95.77 and Net pay is $227.23

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Answer:

angle 1 = 34 degrees

Step-by-step explanation:

Angle 2 and angle 6 are corresponding, therefore they are congruent and have a measure of 146 degrees.

angle 1 and angle 2 form supplementary angles so:

angle 1 = 180-angle 2

angle 1 = 180 - 146

angle 1 = 34 degrees